a) Let U be a structure and let s: V → |U|. Define a truth assignment v over the set of prime formulas using v(a) = T iff Fu a[s] Show that for any formula (prime or no prime), v(a)T iff Fu a[s] b) Conclude that if I tautologically implies , then I logically implies p. Please be as clear as possible. Explain your answer. Thank you very much.
a) Let U be a structure and let s: V → |U|. Define a truth assignment v over the set of prime formulas using v(a) = T iff Fu a[s] Show that for any formula (prime or no prime), v(a)T iff Fu a[s] b) Conclude that if I tautologically implies , then I logically implies p. Please be as clear as possible. Explain your answer. Thank you very much.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Mathematical Logic
First-order or predicate logic.
a) Let be a structure and let s: V → |U|. Define a truth assignment v over the set of prime
formulas using
v(a) = T iff F₁α[s]
Show that for any formula (prime or no prime),
v(a)T iƒƒ ‡µ a[s]
b) Conclude that if I tautologically implies , then I' logically implies .
Please be as clear as possible. Explain your answer. Thank you very much.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F090fff48-cd1e-47e1-ae72-a34436ae7ec3%2F51a49867-3c5c-4d3d-9cfc-9ecc9fdfd9ec%2Fi9jnr2t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Mathematical Logic
First-order or predicate logic.
a) Let be a structure and let s: V → |U|. Define a truth assignment v over the set of prime
formulas using
v(a) = T iff F₁α[s]
Show that for any formula (prime or no prime),
v(a)T iƒƒ ‡µ a[s]
b) Conclude that if I tautologically implies , then I' logically implies .
Please be as clear as possible. Explain your answer. Thank you very much.
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